7y+[5y-9]-6=21

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Solution for 7y+[5y-9]-6=21 equation: 


Simplifying
7y + [5y + -9] + -6 = 21

Reorder the terms:
7y + [-9 + 5y] + -6 = 21

Remove brackets around [-9 + 5y]
7y + -9 + 5y + -6 = 21

Reorder the terms:
-9 + -6 + 7y + 5y = 21

Combine like terms: -9 + -6 = -15
-15 + 7y + 5y = 21

Combine like terms: 7y + 5y = 12y
-15 + 12y = 21

Solving
-15 + 12y = 21

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.
-15 + 15 + 12y = 21 + 15

Combine like terms: -15 + 15 = 0
0 + 12y = 21 + 15
12y = 21 + 15

Combine like terms: 21 + 15 = 36
12y = 36

Divide each side by '12'.
y = 3

Simplifying
y = 3

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